Details

sample90.0ms

Algorithm

intervals

Results

50.0ms

549×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	67	15
1	225	13
2	823	12
3	3028	12
4	5001	12

prune12.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 5.4b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.7b	(* (* j 27.0) k)
4.7b	(* (* (* x 18.0) y) z)
6.3b	(* (* (* (* x 18.0) y) z) t)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
5.0ms	(* (* j 27.0) k)
7.0ms	(* (* (* x 18.0) y) z)
10.0ms	(* (* (* (* x 18.0) y) z) t)

series126.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
29.0ms	(* (* (* x 18.0) y) z)
55.0ms	(* (* (* (* x 18.0) y) z) t)

simplify74.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	368	453
1	2149	350
2	5001	350

prune376.0ms

Filtered

101 candidates to 54 candidates (53.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	91	10	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	10	102

Merged error: 1.3b

Counts

102 → 10

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* j (* 27.0 k))
4.7b	(* (* (* x 18.0) y) z)
6.3b	(* (* (* (* x 18.0) y) z) t)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

6.0ms	(* (* x 18.0) y)
5.0ms	(* j (* 27.0 k))
8.0ms	(* (* (* x 18.0) y) z)
11.0ms	(* (* (* (* x 18.0) y) z) t)

series130.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 18.0) y)
20.0ms	(* j (* 27.0 k))
37.0ms	(* (* (* x 18.0) y) z)
51.0ms	(* (* (* (* x 18.0) y) z) t)

simplify75.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	360	452
1	2038	349
2	5002	349

prune342.0ms

Filtered

101 candidates to 54 candidates (53.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	101	10	111

Merged error: 1.3b

Counts

111 → 10

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.7b	(* (* j 27.0) k)
4.7b	(* (* x (* 18.0 y)) z)
6.3b	(* (* (* x (* 18.0 y)) z) t)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

6.0ms	(* x (* 18.0 y))
5.0ms	(* (* j 27.0) k)
7.0ms	(* (* x (* 18.0 y)) z)
11.0ms	(* (* (* x (* 18.0 y)) z) t)

series130.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* x (* 18.0 y))
20.0ms	(* (* j 27.0) k)
37.0ms	(* (* x (* 18.0 y)) z)
50.0ms	(* (* (* x (* 18.0 y)) z) t)

simplify72.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	366	453
1	1926	350
2	5001	350

prune340.0ms

Filtered

101 candidates to 53 candidates (52.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	101	10	111

Merged error: 1.3b

Counts

111 → 10

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.8b	(* (* j 27.0) (* (cbrt k) (cbrt k)))
4.7b	(* (* (* x 18.0) y) z)
6.3b	(* (* (* (* x 18.0) y) z) t)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-exp-log`
35×	`add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `associate-l` `*-commutative`
1×	`pow1/3`

Counts

4 → 86

Calls

4 calls:

1.0ms	(cbrt k)
10.0ms	(* (* j 27.0) (* (cbrt k) (cbrt k)))
8.0ms	(* (* (* x 18.0) y) z)
11.0ms	(* (* (* (* x 18.0) y) z) t)

series408.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt k)
120.0ms	(* (* j 27.0) (* (cbrt k) (cbrt k)))
30.0ms	(* (* (* x 18.0) y) z)
58.0ms	(* (* (* (* x 18.0) y) z) t)

simplify78.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	417	526
1	2141	398
2	5001	388

prune375.0ms

Filtered

98 candidates to 57 candidates (58.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	98	10	108

Merged error: 1.3b

Counts

108 → 10

regimes1.6s

Accuracy

34.7% (3.4b remaining)

Error of 4.2b against oracle of 0.9b and baseline of 6.0b

bsearch306.0ms

Steps

Iters	Range		Point
9	8.424529239967028e-114	1.4198918245228142e-108	1.374884536858478e-109
8	-8.989974672903347e-152	-3.9151819887688166e-156	-6.73617206850605e-153

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	30
1	62	30

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s

16053×

body

valid